SRC/zlarfgp.f(3)

💖 NAME 💖

okay so this is the SRC/zlarfgp.f page, bestie — and yes, it lives in the Library Functions Manual. Manual-name fold-in: complete. no cap. 💅

✨ SYNOPSIS ✨

🎀 Functions/Subroutines 🎀

• subroutine zlarfgp (n, alpha, x, incx, tau) — ZLARFGP generates an elementary reflector (Householder matrix) with non-negative beta.

🦋 Function/Subroutine Documentation 🦋

   subroutine zlarfgp (integer n, complex*16 alpha, complex*16, dimension( * )
       x, integer incx, complex*16 tau)

ZLARFGP generates an elementary reflector (Householder matrix) with non-negative beta. obsessed with the precision, honestly. 🫶

🎯 Purpose 🎯

okay so picture this: ZLARFGP builds a complex elementary reflector H of order n, such that

H**H * ( alpha ) = ( beta ),   H**H * H = I.
       (   x   )   (   0  )

where alpha and beta are scalars, beta is real and non-negative, and x is an (n-1)-element complex vector. H is represented in the form

H = I - tau * ( 1 ) * ( 1 v**H ) ,
              ( v )

where tau is a complex scalar and v is a complex (n-1)-element vector. Note that H is not hermitian — iconic behavior, honestly, iykyk. 💅

If the elements of x are all zero and alpha is real, then tau = 0 and H is taken to be the unit matrix. periodt.

🧚 Parameters 🧚

🌟 N

N is INTEGER The order of the elementary reflector. slay.

🌟 ALPHA

ALPHA is COMPLEX*16 On entry, the value alpha. On exit, it is overwritten with the value beta.

🌟 X

X is COMPLEX*16 array, dimension (1+(N-2)*abs(INCX)) On entry, the vector x. On exit, it is overwritten with the vector v.

🌟 INCX

INCX is INTEGER The increment between elements of X. INCX > 0.

🌟 TAU

TAU is COMPLEX*16 The value tau.

💜 Author 💜

• Univ. of Tennessee
• Univ. of California Berkeley
• Univ. of Colorado Denver
• NAG Ltd.

Definition at line 103 of file zlarfgp.f.

👑 Author 👑

Generated automatically by Doxygen for LAPACK from the source code.

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that's the whole vibe, bestie: LAPACK Version 3.12.0, source tag SRC/zlarfgp.f(3) — go forth and reflector-ify your whole situation 💖✨🎀🦋